let f(x)= (x+9)^2

Question

Give the largest domain on which f is one-to-one and non-decreasing. _____

Give the range of 

 Find the inverse of restricted to the domain above. 

f^−1(x)= _____

Give the domain of f^−1 _____

Give the range of 

Answer 1

The domain of a quadratic function is all real numbers. Since there’s no vertical shift the range can is y us >ior =0 as regardless of whether (x+9) is + or - when you square it you will get a + number

To find the inverse function switch x and y and solve for y

x=(y+9)^2

y+9= sqroot x

y = (sqroot x)-9

Since you cannot take a sqroot if of a -number the domain is x is >or = 0

The range is all reals